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3 years ago

HERE ARE TWO NUMBER MACHINES A AND B

Mathematics

1 answer:

nika2105 [10]3 years ago

5 0

Answer:

$x=-7$

Step-by-step explanation:

We can write them both like functions like this

$A=5x-4$

$B=3x+8$

Where

x=input

A=Output A

B=Output B

We want the output of A 3 times the output of B this can be written like this:

$A=3B$

we replace with the functions

$5x-4=3(3x+8)$

we solve for x

$5x-4=9x+24\\5x-9x=24+4\\-4x=28\\x=\frac{28}{-4}\\x=-7$

The output that makes the out put of A 3 times teh output of B is $-7$

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Answer:

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Step-by-step explanation:

The expected value of a random variable is the weighted average of the random variable.

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$E(X)=\sum x\cdot P(X=x)$

The random variable X in this case can be defined as the amount won in playing the game.

The probability distribution of X is as follows:

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$=(1\times \frac{1}{6})+(4\times \frac{1}{6})+(7\times \frac{1}{6})+(10\times \frac{1}{6})+(-8.75\times \frac{1}{6})+(-8.75\times \frac{1}{6})$

$=\frac{1}{6}+\frac{4}{6}+\frac{7}{6}+\frac{10}{6}-\frac{8.75}{6}-\frac{8.75}{6}$

$=\frac{1+4+7+10-8.75-8.75}{6}$

$=0.75$

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